Step-by-step explanation:
length = width + 4
length×width = 77
using the first in the second equation
(width + 4)×width = 77
width² + 4width = 77
now, what square or squaring factors can create this ?
we are looking for (width + a)(width + b).
we know, this is
width² + (a+b)width + ab
so, what a, b can create 4 (the factor in our actual equation) ?
1, 3 and 2, 2, if we are only looking at whole numbers.
and which of the possibilities can we use to turn 77 into a square number ?
81 is only 4 away ...
2+2 = 4.
aha !
so, we can actually say our equation is
width² + 4width + 4 = 77 + 4
and then
(width + 2)² = 81
width + 2 = 9
width = 7 m
length = width + 4 = 7 + 4 = 11 m
Answer:
<em>AD is 6.5 units</em>
Step-by-step explanation:
Find the diagram attached.
From the diagram, you can see that the dotted triangle is a right angled triangle with side AD as the hypotenuse.
To get AD, we will use the pythagoras theorem as shown;
Hyp² = Opp² + Adj²
AD² = 6²+2.5²
AD² = 36 + 6.25
AD² = 42.25
AD = √42.25
<em>AD = 6.5</em>
<em>Hence the measure of length segment AD is 6.5 units</em>
<span>Line Segment: A line segment is just part of a line. Remember above when I said that lines are indefinite, and that they keep going and going? Line segments stop somewhere in both directions.</span><span>
Therefore its defined.
</span>
It would be 15400*0.015=How much he will make
Given:
The given sequence is:
To find:
The recursive formula for 
, the nth term of the sequence.
Solution:
We have,
Here, the first term is 5.
The common difference is -7.
The recursive formula for the nth term of the sequence is
Where, 
is the common difference.
Putting 
in the above formula, we get
Therefore, the recursive formula for the nth term of the sequence is .
